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Finding the Third Proportional to 597,853,984 and 841,543,284

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Solution

The third proportional to 597,853,984 and 841,543,284 is: 1,184,561,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,853,984 : 841,543,284 = 841,543,284 : x
  2. Step 2: Convert to fraction form
    597,853,984/841,543,284 = 841,543,284/x
  3. Step 3: Cross multiply
    597,853,984x = 841,543,284 × 841,543,284
  4. Step 4: Simplify right side
    597,853,984x = 708,195,098,845,504,640
  5. Step 5: Solve for x
    x = 708,195,098,845,504,640/597,853,984
  6. Step 6: Final answer
    x = 1,184,561,979.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.